具连续变量差分方程非振动解在脉冲扰动下的保持性

The Persistence of Nonoscillatory Solutions of Difference Equations Under Impulsive Perturbations

获得具连续变量差分方程x(t+τ)-x(t)+p(t)x(t-rτ)=0的非振动解在脉冲扰动x(t_k+τ)-x(t_k)=b_kx(t_k),K∈N (1)下具有保持性的充分条件.

The authors obtain a sufficient condition for the persistence of nonoscillatory solutions of the difference equation with continuous variable x（t＋τ）-x（t）＋p（t）x（t-ττ）=0 under the impulsive perturbationsx（tk＋τ）-x（tk）=6kx（tk）,k∈N（1）